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10042020554040 = 23325371538349009
BaseRepresentation
bin1001001000100001011100…
…0100010110010100111000
31022120000012200022120101200
42102020113010112110320
52304012024230212130
633205123543214200
72054340426224226
oct222102704262470
938500180276350
1010042020554040
113221884898232
121162264447360
1357ac5ca00797
1426a071bc5b16
15126338eec760
hex92217116538

10042020554040 has 192 divisors, whose sum is σ = 33521499086400. Its totient is φ = 2605274689536.

The previous prime is 10042020554029. The next prime is 10042020554051. The reversal of 10042020554040 is 4045502024001.

10042020554040 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 202 + 0 + 55 + 404 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10042020554029) and next prime (10042020554051).

It is a junction number, because it is equal to n+sod(n) for n = 10042020553995 and 10042020554013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204877056 + ... + 204926064.

It is an arithmetic number, because the mean of its divisors is an integer number (174591141075).

Almost surely, 210042020554040 is an apocalyptic number.

10042020554040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10042020554040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16760749543200).

10042020554040 is an abundant number, since it is smaller than the sum of its proper divisors (23479478532360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10042020554040 is a wasteful number, since it uses less digits than its factorization.

10042020554040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64446 (or 64439 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 10042020554040 its reverse (4045502024001), we get a palindrome (14087522578041).

The spelling of 10042020554040 in words is "ten trillion, forty-two billion, twenty million, five hundred fifty-four thousand, forty".